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Finding the Third Proportional to 361,347.75 and 778,194

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Solution

The third proportional to 361,347.75 and 778,194 is: 1,675,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,347.75 : 778,194 = 778,194 : x
  2. Step 2: Convert to fraction form
    361,347.75/778,194 = 778,194/x
  3. Step 3: Cross multiply
    361,347.75x = 778,194 × 778,194
  4. Step 4: Simplify right side
    361,347.75x = 605,585,901,636
  5. Step 5: Solve for x
    x = 605,585,901,636/361,347.75
  6. Step 6: Final answer
    x = 1,675,908.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.